Simplify the following:
4d + 40 + 3d - 20
7d + 20 or 20 + 7d
Solve, with x = 2
4x + 18
4(2) + 18
= 8 + 18
= 26
Solve to find x.
6 + 4x = 18
6 + 4x = 18
- 6 - 6
4x = 12
4 4
x = 3
Write the following as an inequality (with numbers, variables, and symbols):
The minimum age to drive a car is 16.
16 ≤ a or a ≥ 16
What is a variable?
A variable is a letter used to represent a number or amount that is UNKNOWN or CHANGES.
Simplify the following:
65 + 3c - c + 5
2c + 70 or 70 + 2c
Solve, with x = 5
47 - x
6
47 - (5)
6
42
6
= 7
Solve to find x.
27 = 2 + x
4
27 = 2 + x
-2 4 -2
25 = x
x4 4 x4
100 = x
Write the following as an inequality (with numbers, variables, and symbols):
Dollar Tree sells items for a maximum price of $1.75.
p ≤ 1.75 or 1.75 ≥ p
What "order" do you use, to isolate x?
Reverse BEDMAS order.
Simplify the following:
7k - 10 + 2k + 50
9k + 40 or 40 + 9k
Solve, with x =10
6x + 4 - 2x
6(10) + 4 + 2(10)
= 60 + 4 + 20
= 84
Solve to find x.
5x - 3 = 4
8
5x - 3 = 4
8 x8 x8
= 5x - 3 = 32
+3 +3
= 5x = 35
5 5
= x = 7
Solve the following inequality.
3x + 28 > 58
3x + 28 > 58
-28 -28
3x > 30
3 3
x > 10
If x < -4,
could x = 0?
Simplify the following:
17s + 4 - 5s + 10 - s - 20
11s - 6 or -6 + 11s
Solve, with x = 8
x2 - 3x
(8)2 - 3(8)
= 64 - 3(8)
= 64 - 24
= 40
Solve to find x. 11
4x - 5 = 8x - 21
4x - 5 = 8x - 21
- 4x - 4x
+21 +21
16 = 8x
8 8
2 = x
Solve the following inequality.
x + 5 < 13
6
x + 5 < 13
6 -5 -5
x < 8
6 x6 x6
x < 48
If x ≤ 15,
could x be 15?
Yes - because x ≤ 15 means x must be less than OR EQUAL TO 15.
Simplify the following:
-7y + 2 - 3y + y + 4
-9y + 6 or 6 - 9y
Solve, with x = 7
3 + (5x - 11)
9
3 + (5(7) - 11)
9
= 3 + (35 - 11)
9
= 3 + 24
9
= 27
9
= 3
Solve to find x.
13x - 15 = x + 21
13x - 15 = x + 21
-x -x
12x - 15 = 21
+15 +15
12x = 36
12 12
x = 3
Create a line graph that shows the following:
x ≤ 9
(Line graph should have a dot at 9 FILLED IN, with an arrow pointing LEFT)
Find the error made below:
2x + 14 = 22
÷2 ÷2
x + 14 = 11
-14 -14
x = -3
The x was not isolated in reverse BEDMAS order.
The 14 should have been "moved" or "balanced" first.
2x + 14 = 22
-14 -14
2x = 8
÷2 ÷2
x = 4